A Liouville theorem for stationary and ergodic ensembles of parabolic systems
A first-order Liouville theorem is obtained for random ensembles of uniformly parabolic systems under the mere qualitative assumptions of stationarity and ergodicity. Furthermore, the paper establishes, almost surely, an intrinsic large-scale C1,α -regularity estimate for caloric functions.
| Main Authors: | , , |
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| Format: | Journal article |
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Springer
2018
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| _version_ | 1797089001451028480 |
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| author | Bella, P Chiarini, A Fehrman, B |
| author_facet | Bella, P Chiarini, A Fehrman, B |
| author_sort | Bella, P |
| collection | OXFORD |
| description | A first-order Liouville theorem is obtained for random ensembles of uniformly parabolic systems under the mere qualitative assumptions of stationarity and ergodicity. Furthermore, the paper establishes, almost surely, an intrinsic large-scale C1,α -regularity estimate for caloric functions. |
| first_indexed | 2024-03-07T02:58:12Z |
| format | Journal article |
| id | oxford-uuid:b0089e47-6ffc-46b1-8e9f-696773917614 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:58:12Z |
| publishDate | 2018 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:b0089e47-6ffc-46b1-8e9f-6967739176142022-03-27T03:53:37ZA Liouville theorem for stationary and ergodic ensembles of parabolic systemsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b0089e47-6ffc-46b1-8e9f-696773917614Symplectic Elements at OxfordSpringer2018Bella, PChiarini, AFehrman, BA first-order Liouville theorem is obtained for random ensembles of uniformly parabolic systems under the mere qualitative assumptions of stationarity and ergodicity. Furthermore, the paper establishes, almost surely, an intrinsic large-scale C1,α -regularity estimate for caloric functions. |
| spellingShingle | Bella, P Chiarini, A Fehrman, B A Liouville theorem for stationary and ergodic ensembles of parabolic systems |
| title | A Liouville theorem for stationary and ergodic ensembles of parabolic systems |
| title_full | A Liouville theorem for stationary and ergodic ensembles of parabolic systems |
| title_fullStr | A Liouville theorem for stationary and ergodic ensembles of parabolic systems |
| title_full_unstemmed | A Liouville theorem for stationary and ergodic ensembles of parabolic systems |
| title_short | A Liouville theorem for stationary and ergodic ensembles of parabolic systems |
| title_sort | liouville theorem for stationary and ergodic ensembles of parabolic systems |
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